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M Is the midpoint of AB. If AB = 3x +14, and AM = 2x-1, find x and MB.​

M Is the midpoint of AB. If AB = 3x +14, and AM = 2x-1, find x and MB.​-example-1
User Kirk Woll
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1 Answer

2 votes

Answers:

x = 16

MB = 31

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Work Shown:

M is the midpoint of AB

This means AM is half as long as AB and AM = MB

Put another way, AB is twice as long as AM

AB = 2*AM

3x+14 = 2*(2x-1)

3x+14 = 4x-2

14+2 = 4x-3x

16 = x

x = 16

AM = MB

MB = AM

MB = 2x-1

MB = 2*16-1

MB = 32-1

MB = 31

User Delephin
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